Solve 6*(2x-11)+34div17=(5x+7)div2+13*13

$$6 \times (2x-11)+34 \div 17=(5x+7) \div 2+13 \times 13$$

Solve for x

$$x = \frac{473}{19} = 24\frac{17}{19} \approx 24.894736842$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 34, the least common multiple of 17,2.

$$204\left(2x-11\right)+2\times 34=17\left(5x+7\right)+442\times 13$$

Use the distributive property to multiply 204 by 2x-11.

$$408x-2244+2\times 34=17\left(5x+7\right)+442\times 13$$

Multiply 2 and 34 to get 68.

$$408x-2244+68=17\left(5x+7\right)+442\times 13$$

Add -2244 and 68 to get -2176.

$$408x-2176=17\left(5x+7\right)+442\times 13$$

Use the distributive property to multiply 17 by 5x+7.

$$408x-2176=85x+119+442\times 13$$

Multiply 442 and 13 to get 5746.

$$408x-2176=85x+119+5746$$

Add 119 and 5746 to get 5865.

$$408x-2176=85x+5865$$

Subtract 85x from both sides.

$$408x-2176-85x=5865$$

Combine 408x and -85x to get 323x.

$$323x-2176=5865$$

Add 2176 to both sides.

$$323x=5865+2176$$

Add 5865 and 2176 to get 8041.

$$323x=8041$$

Divide both sides by 323.

$$x=\frac{8041}{323}$$

Reduce the fraction \frac{8041}{323} to lowest terms by extracting and canceling out 17.

$$x=\frac{473}{19}$$